1.

Record Nr.

UNINA9910484068903321

Titolo

Optimal urban networks via mass transportation / / Giuseppe Buttazzo ... [et al.]

Pubbl/distr/stampa

Berlin, : Springer, c2009

ISBN

3-540-85799-0

Edizione

[1st ed. 2009.]

Descrizione fisica

1 online resource (X, 150 p. 15 illus.)

Collana

Lecture notes in mathematics ; ; 1961

Altri autori (Persone)

ButtazzoGiuseppe

Disciplina

388.4

Soggetti

Transportation - Mathematical models

Mathematical optimization

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Problem setting -- Optimal connected networks -- Relaxed problem and existence of solutions -- Topological properties of optimal sets -- Optimal sets and geodesics in the two-dimensional case.

Sommario/riassunto

Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where" optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the monograph we study the most general problem settings, namely, when neither the shape nor even the topology of the network to be constructed is known a priori.